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Warm-up 1. m - 10 = 15 5 2. z + 2 = 26 6 3. 3a - 8 = 4 *You MUST show all your steps mathematically, but you do not have to write out your steps in words
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Distributive Property
Week 1 Day 3 January 8th, 2014
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Essential Question: Standards:
How do we use the distributive property to simplify expressions? Standards: A.SSE.1 Interpret expressions that represent a quantity in terms of its context. Interpret parts of an expression, such as terms, factors, and coefficients. Interpret complicated expressions by viewing one or more of their parts as a single entity.
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Vocabulary The Distributive Property Term Coefficient Factor
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The Distributive Property
The process of distributing the number on the outside of the parentheses to each term on the inside. Example 5(x + 7) 5 • x + 5 • 7 5x + 35
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Examples 1. 5(2x+1) 2. -3(x +5) 3. 2 –3(x + 6) = 5(2x) + 5(1)
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Which statement demonstrates the distributive property incorrectly?
3(x + y + z) = 3x + 3y + 3z (a + b) c = ac + bc 5(2 + 3x) = x 6(3k - 4) = 18k - 24 Answer Now
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A term is a 1) number, 2) variable, or
3) a product / quotient of numbers and variables. Example 5 m 2x2
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the numerical part of the term.
The coefficient is the numerical part of the term. Examples 1) 4a 4 2) y2 1 3)
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Factor Factors are numbers you can multiply together to get another number: EX. 2 and 3 are factors of 6, because 2x3=6 In Algebra, factors are what you can multiply together to get an expression.
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Try the following on your own
(3 – x) 2. -2(x + 4) +3 3. 2(x + 6 – 3)
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1. 4 + 6(3 - x) 2. -2(x+4)+3 3. 2(x+ 6 – 3) = 4+ 6(3) - 6(x)
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Homework 2x + 3(6x - 12) = 124 3x + 5(2x - 9) = 98
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